201020110101101 has 16 divisors (see below), whose sum is σ = 206409694862448. Its totient is φ = 195653849395200.

The previous prime is 201020110100917. The next prime is 201020110101211. The reversal of 201020110101101 is 101101011020102.

201020110101101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 18616204622500 + 182403905478601 = 4314650^2 + 13505699^2 .

It is not a de Polignac number, because 201020110101101 - 2¹⁰ = 201020110100077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201020110101301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106634741 + ... + 108503493.

It is an arithmetic number, because the mean of its divisors is an integer number (12900605928903).

Almost surely, 2^{201020110101101} is an apocalyptic number.

It is an amenable number.

201020110101101 is a deficient number, since it is larger than the sum of its proper divisors (5389584761347).

201020110101101 is a wasteful number, since it uses less digits than its factorization.

201020110101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874992.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 201020110101101 its reverse (101101011020102), we get a palindrome (302121121121203).

The spelling of 201020110101101 in words is "two hundred one trillion, twenty billion, one hundred ten million, one hundred one thousand, one hundred one".